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Super easy

Algebra Level 2

Let $ab=1$ and define

$P=\frac{a}{a+1}+\frac{b}{b+1}\quad \text{ and }\quad Q=\frac{1}{a+1}+\frac{1}{b+1}.$

What can we say about $P$ and $Q?$

P>Q

P<Q

P=Q

Answer is dependent on the values of

a

and

b

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by Tom Zhou

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